The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  2  2  2  1  1
 0 12  0  4  0  0  4 12  0  4 12  8  4 12  0  0
 0  0 12  4  0 12  4  0 12  4  0  4 12  0  0  0
 0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  0
 0  0  0  0  8  0  0  0  0  0  8  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  8  0  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  8  8  0  0  8  0  0
 0  0  0  0  0  0  0  8  0  8  8  0  8  0  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  0  8  0  0

generates a code of length 16 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+71x^8+192x^10+662x^12+1600x^14+11327x^16+1600x^18+676x^20+192x^22+57x^24+6x^28

The gray image is a code over GF(2) with n=128, k=14 and d=32.
This code was found by Heurico 1.16 in 0.226 seconds.